If you are experiencing an issue with New Orders not showing up with a phone number, this is not related to the Shift4Shop checkout process. It is more than likely related to a setting in PayPal that requires the phone number. Below are instructions on how to change this setting to get the proper information back into your orders.
Log into your PayPal Account.
Click on Profile.
Under Selling Preferences, click on Website Payment Preferences.
Under Contact Telephone Number, set it to "On (Required Field)."
If you have any further questions or concerns, contact technical support.